By extending classical calculus to encompass fractional-order dynamics, ... Nonlinear schr ödinger equation, Sasa Satsuma equation, soliton solutions, Modified simplest equation method, Kudryashov ...

The interaction of a soliton of the Nonlinear Schrodinger Equation (NSE) with a weak sinusoidal wave packet is treated analytically. The second-order soliton solution containing the original soliton ...

In this paper, a fifth-order variable-coefficient nonlinear Schrödinger equation is investigated, which describes the propagation of the attosecond pulses in an optical fiber. Via the Hirota’s method ...

Mathematicians have devised a new way to solve higher-order polynomial equations, ushering in a 'dramatic revision of a basic chapter in algebra'. Skip to main content. Open menu Close menu ...

Based on the N-soliton solution, we first study the evolution from N-soliton to T-order ( T=1,2 ) breather wave solutions via the paired-complexification of parameters, and then we get the N-order ...

Zhi, H. (2008) Lie Point Symmetry and Some New Soliton Like Solutions of the KD Equations. Applied Mathematics and Computation, ... Meanwhile, we also provide a large number of three-dimensional ...

Peregrine soliton is the lowest order rational solution of the NLSE that takes the form of one dominant peak, appears from “nowhere”, causes danger, and “disappears without a trace” [17, 18]. Its ...